A very long charged solid cylinder of radius 'a' contains a uniform charge density \(\rho\). Dielectric constant of the material of the cylinder is \(\mathrm{k}\). What will be the magnitude of electric field at a radial distance ' \(\mathrm{x}\) ' \((\mathrm{x}<\mathrm{a})\) from the axis of the cylinder?
(A) \(\rho \frac{x}{\varepsilon_{0}}\)
(B) \(\rho \frac{x}{2 k \varepsilon_{0}}\)
(C) \(\rho \frac{x^{2}}{2 a \varepsilon_{0}}\)
(D) \(\rho \frac{x^{2}}{2 k}\)
Ans: (B)
